HIGH-ORDER BOUNDARY CONDITIONS FOR THE PROBLEMS OF LAPLACE EQUATION IN INFINITE REGION AND THEIR APPLICATION

Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (11): 1081-1086.

HIGH-ORDER BOUNDARY CONDITIONS FOR THE PROBLEMS OF LAPLACE EQUATION IN INFINITE REGION AND THEIR APPLICATION

黄河宁, 王发君

Institute of Marine Environmental Protection State Oceanic Administration, Dalian

收稿日期:1989-03-17 出版日期:1990-11-18 发布日期:1990-11-18

HIGH-ORDER BOUNDARY CONDITIONS FOR THE PROBLEMS OF LAPLACE EQUATION IN INFINITE REGION AND THEIR APPLICATION

Huang He-ning, Wang Fa-jun

Institute of Marine Environmental Protection State Oceanic Administration, Dalian

Received:1989-03-17 Online:1990-11-18 Published:1990-11-18

摘要/Abstract

摘要： The high-order boundary conditions for the problems cf Laplace equation in infinite region have been developed.The improvement in accuracy for numerical solution is achieved by imposing the high-order boundary conditions on the exterior boundarv of a reduced finite region in which the numerical method is used.So both the computing efforts and the required storage in computer are reduced.The numerical examples show that the 1st-order boundary condition approaches to the exact boundary condition and it is clearly superior to the traditional boundary condition and the 2nd-order boundary condition.

关键词: Laplace equation, potential function, boundary condition, conformal transformation

Abstract: The high-order boundary conditions for the problems cf Laplace equation in infinite region have been developed.The improvement in accuracy for numerical solution is achieved by imposing the high-order boundary conditions on the exterior boundarv of a reduced finite region in which the numerical method is used.So both the computing efforts and the required storage in computer are reduced.The numerical examples show that the 1st-order boundary condition approaches to the exact boundary condition and it is clearly superior to the traditional boundary condition and the 2nd-order boundary condition.

Key words: Laplace equation, potential function, boundary condition, conformal transformation

黄河宁;王发君. HIGH-ORDER BOUNDARY CONDITIONS FOR THE PROBLEMS OF LAPLACE EQUATION IN INFINITE REGION AND THEIR APPLICATION[J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(11): 1081-1086.

Huang He-ning;Wang Fa-jun. HIGH-ORDER BOUNDARY CONDITIONS FOR THE PROBLEMS OF LAPLACE EQUATION IN INFINITE REGION AND THEIR APPLICATION[J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(11): 1081-1086.

[1]	Xiuchen GONG, Yinghao NIE, Gengdong CHENG, Kai LI. Effect of boundary conditions on shakedown analysis of heterogeneous materials[J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(1): 39-68.
[2]	W. WU, M. DANEKER, M. A. JOLLEY, K. T. TURNER, L. LU. Effective data sampling strategies and boundary condition constraints of physics-informed neural networks for identifying material properties in solid mechanics[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(7): 1039-1068.
[3]	Qingdong CHAI, Yanqing WANG, Meiwen TENG. Nonlinear free vibration of spinning cylindrical shells with arbitrary boundary conditions[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(8): 1203-1218.
[4]	Yongfang WEI, Suiming SHANG, Zhanbing BAI. Solutions for a class of Hamiltonian systems on time scales with non-local boundary conditions[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(4): 587-602.
[5]	Chi XU, Yang LI, Mingyue LU, Zhendong DAI. Buckling analysis of functionally graded nanobeams under non-uniform temperature using stress-driven nonlocal elasticity[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(3): 355-370.
[6]	K. DEVARAJAN, B. SANTHOSH. Nonlinear dynamics and performance analysis of modified snap-through vibration energy harvester with time-varying potential function[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(2): 185-202.
[7]	B. J. GIREESHA, L. ANITHA. Repercussion of Hall effect and nonlinear radiation on Couette-Poiseuille flow of Casson-Williamson fluid through upright microchannel[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(12): 1951-1964.
[8]	Xin FENG, Liangliang ZHANG, Yuxuan WANG, Jinming ZHANG, Han ZHANG, Yang GAO. Static response of functionally graded multilayered two-dimensional quasicrystal plates with mixed boundary conditions[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(11): 1599-1618.
[9]	C. SRINIVAS REDDY, B. MAHANTHESH, P. RANA, K. S. NISAR. Entropy generation analysis of tangent hyperbolic fluid in quadratic Boussinesq approximation using spectral quasi-linearization method[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(10): 1525-1542.
[10]	Zhu SU, Lifeng WANG, Kaipeng SUN, Jie SUN. Transverse shear and normal deformation effects on vibration behaviors of functionally graded micro-beams[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(9): 1303-1320.
[11]	Xiaojian XU, Mulian ZHENG. Analytical solutions for buckling of size-dependent Timoshenko beams[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(7): 953-976.
[12]	Hu DING, Minhui ZHU, Liqun CHEN. Dynamic stiffness method for free vibration of an axially moving beam with generalized boundary conditions[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(7): 911-924.
[13]	S. M. H. KARIMIAN, A. AMANI, M. SEYEDNIA. Feasibility study of symmetric solution of molecular argon flow inside microscale nozzles[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(4): 489-500.
[14]	Qiang YU, Hang XU. Novel wavelet-homotopy Galerkin technique for analysis of lid-driven cavity flow and heat transfer with non-uniform boundary conditions[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(12): 1691-1718.
[15]	B. MAHANTHESH, B. J. GIREESHA, S. A. SHEHZAD, F. M. ABBASI, R. S. R. GORLA. Nonlinear three-dimensional stretched flow of an Oldroyd-B fluid with convective condition, thermal radiation, and mixed convection[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(7): 969-980.

HIGH-ORDER BOUNDARY CONDITIONS FOR THE PROBLEMS OF LAPLACE EQUATION IN INFINITE REGION AND THEIR APPLICATION

HIGH-ORDER BOUNDARY CONDITIONS FOR THE PROBLEMS OF LAPLACE EQUATION IN INFINITE REGION AND THEIR APPLICATION

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价